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ladessa [460]
2 years ago
14

Find the coordinates of P so that P partitions segment AB in the part-to-whole ratio of 1 to 5 with A(-9, 3) and B(1, 8). Explai

n.
Find point Z that partitions the directed line segment XY in the ratio of 2:1 where X(1, 2) and Y(7, 5). Explain.
Mathematics
1 answer:
ycow [4]2 years ago
4 0

For both problems, we can use the section formula.

1) P=\left(\frac{(1)(1)+(5)(-9)}{6}, \frac{(1)(8)+(5)(3)}{6} \right)=\boxed{\left(-\frac{22}{3}, \frac{23}{6} \right)}

2) Z=\left(\frac{(2)(7)+(1)(1)}{3}, \frac{((2)(5)+(1)(2)}{3} \right)=\boxed{(5, 4)}

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A local trucking company fitted a regression to relate the travel time (days) of its shipments as a function of the distance tra
Karo-lina-s [1.5K]

Answer:

The critical values for α = 0.10 are t=±1.7341.

Step-by-step explanation:

The critical values for a two tailed test are the values of t that are placed in the limit of the significance level. If the test statistic t is greater than this critical values, the null hypothesis is rejected.

To determine this values, we first divide the significance level by 2. With a t-table or app, we can determine the t values for P(x>|t|)=α/2=0.05.

In this case, for a degrees of freedom DF=20-2=18, we have the test statistic t=±1.7341 that satisfies the condition.

Solution of the hypothesis test

In this problem we want to prove if the slope of the regression model is different from 0, by means of a hypothesis test.

First, we state the null and alternative hypothesis:

H_0: B_1=0\\\\H_1: B_1 \neq 0

The significance level is \alpha=0.10.

The degrees of freedom for a simple regression model is:

DF=n-2=20-2=18

The standard error estimated of the slope is 0.0053.

The test statistic t is calculated as:

t=\frac{B_1}{SE}=\frac{0.0214}{0.0053} = 4.0377

The P-value for a two-tailed test for a t=4.0377 and DF=18 is:

P=0.00078

The P-value is smaller than the significance level, so the effect is statistically significant. The null hypothesis is rejected.

7 0
3 years ago
16% as a fraction in simplest form
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Answer:

4/25

Step-by-step explanation:

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3 years ago
Read 2 more answers
Edmentum// monomials
stepladder [879]

Answer:

625b^6

Step-by-step explanation:

= 5^3 * 5b^6

= 5^3 * 5

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Slope is –2 &amp; (5, 3) is on the line.<br> Y-Intercept:<br> Equation of the line (no spaces):
insens350 [35]

Answer:

y-int: (0, 13)

Equation: y = -2x + 13

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

<em>m</em> = slope

<em>b</em> = y-intercept

Step 1: Define variables

<em>m</em> = -2

Random point (5, 3)

Step 2: Plug in known variables

y = -2x + b

Step 3: Find y-intercept <em>b</em>

3 = -2(5) + b

3 = -10 + b

b = 13

Step 4: Rewrite equation

y = -2x + 13

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3 years ago
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